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2 years ago

Someone please help! Thank you!!! (worth 25 pts)

Mathematics

1 answer:

Stells [14]2 years ago

4 0

Divide each distance by its time, you will get:

Elena: 20.5/2.25 = 9.1111111 mph
Julio: 12.25/1.5=8.16666666 mph
Kevin: 20 2/3/1 2/3 = 12.4 mph
Lorena: 33.25/2 1/3 = 14.25 mph

Slowest to fastest:
Julio<Elena<Kevin<Lorena

The fastest rider is Lorena

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2 years ago

Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?

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Answer:

The equation $y=\frac{-x^2-6x+31}{8}$ represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula $d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }$ , we find that the distance between (x, y) is

$\sqrt{(x+3)^2+(y-3)^2}$

and the distance between (x, y) and the directrix y = 7 is

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On the parabola, these distances are equal so, we solve for y:

$\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}$

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3 years ago

The lines shown below are perpendicular. If the green line has a slope of

DedPeter [7]

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2 years ago

Read 2 more answers

Find the determinant of the following matrix. [1 -2] [3 4]

Andrew [12]

Answer:

Step-by-step explanation:

[1 -2]

[3 4]

We can obtain the determinant of the above matrix by doing the following:

Determinant =(1 × 4) – (3 × –2)

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Determinant = 4 + 6

Determinant = 10

Thus, the determinant of the above matrix is 10

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2 years ago

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Alenkasestr [34]

Answer:

x=-y-1/9

y=9x-1

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y=-4x-6

4 0

2 years ago